Percent - XYZ Custom Plus

318Chapter 5 Percent10. Rework Practice Problem 3using proportions.Example 1025 is 40% of what number?Solution This is the same problem we worked in Example 3. We let n be thenumber in question. The base is n and the amount is 25. We compare 25 to n aswe compare 40 to 100. Our proportion sets up as follows:40 is to 100 as 25 is to n{40h h25{h​_40100 ​ = ​25 _n ​100 nNoteWhen you work theproblems in the problemset, use whichevermethod you like, unless yourinstructor indicates that you areto use one method instead of theother.Solving the proportion, we have40 ⋅ n = 25 ⋅ 100 Extremes/means property40 ⋅ n = 2,500 Simplify the right siden = 62.5 Divide each side by 40So, 25 is 40% of 62.5, which is the same result we obtained in Example 3.Getting Ready for ClassAfter reading through the preceding section, respond in your ownwords and in complete sentences.1. When we translate a sentence such as “What number is 15% of 63?” intosymbols, what does each of the following translate to?a. is b. of c. what number2. Look at Example 1 in your text and answer the question below.The number 9.45 is what percent of 63?3. Show that the answer to the question below is the same as the answerto the question in Example 2 of your text.The number 21 is what percent of 42?4. If 21 is 50% of 42, then 21 is what percent of 84?Answer10. a. 87.5 b. 175